L(2tcos2t+sin2t)= Select one: a. 452 (s?+4)? b. 45 (5? + 4) C. 452 (s² +4) d. 45 (s2+4)

Q: Find + 2x + 3 d x2

A: ∫(7x2+2x+3)dx=∫7x2dx+∫2xdx+∫3dx∫(7x2+2x+3)dx=7∫x-2dx+2∫xdx+3∫dx∫(7x2+2x+3)dx=7x-2+1-2+1+2x1+11+1+3x0…

Q: Do b

A:

Q: The coefficient of gªy³in (5x + y)® is 54 . (C).

A: Here the given expression

Q: 5. 1 de 9+x2

A: Given query is to find the integral of the expression.

Q: | (8t3 – 12t2 + 6)dt Evaluate:

A: We can evaluate the given integral by using the following formula.

Q: Simplify : (y-1 - (y + 2)-1) / 2

A:

Q: Find (4x + 3x) de + C

A:

Q: rx)=3x=7 glx)= 3x+18 find g(flx)) or (gef)) ニ

A: *to find:- g(f(x)).

Q: Find (f 9)and indicate the domain of the quotient F(x)=5x*-20x and glx) = 3x²-1ax. %3D

A:

Q: Find: 6x 3x2-7x+4 dx ---

A: An integral is given as, ∫6x3-3x2-7x+4dx. The objective is to solve the integral and find the value.

Q: Find (4x7+6x°)dx + C

A: To find the solution

Q: Find (6æ° +3x?) dx

A: We know that integration of xn is -      =   xn+1/n+1. Here i attached solution of this question.

Q: Use side-and-diagonal numbers to approximate √13. Suggestion: Use the fact that √13 = V65 √5

A: We will find a side and diagonal relationship for √65For a square with side length N, the length of…

Q: d 18x 5. In(9x? – 8) : dx 9x2 – 8

A: Consider the following expression: ddxln9x2-8 Apply the chain rule:…

Q: Show that 14C5 x 5! = 14P,. %3D

A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!

Q: What is the answer to: 12-(4y+8)=0.5(8y-16) ?

A:

Q: | (4x - 1)2_x dx

A: